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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 388–397
DOI: https://doi.org/10.17377/semi.2017.14.031 (Mi semr790) 		 
This article is cited in 11 scientific papers (total in 11 papers)

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Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory

A. E. Mamontov, D. A. Prokudin

Lavrentyev Institute of Hydrodynamics, pr. Lavrent'eva, 15, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.031
Abstract: We consider the model of viscous compressible homogeneous multi-fluids with multiple velocities. We review different formulations of the model and the existence results for boundary value problems. We analyze crucial mathematical difficulties which arise during the proof of the existence theorems.
Keywords: existence theorem, boundary value problem, viscous compressible multi-fluid, effective viscous flux.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-08275_а
The work is partially supported by Russian Foundation for Basic Research (project 15–01–08275).
Received November 22, 2016, published April 10, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A05
Language: English
Citation: A. E. Mamontov, D. A. Prokudin, “Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory”, Sib. Èlektron. Mat. Izv., 14 (2017), 388–397
Citation in format AMSBIB
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\by A.~E.~Mamontov, D.~A.~Prokudin
\paper Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 388--397
\mathnet{http://mi.mathnet.ru/semr790}
\crossref{https://doi.org/10.17377/semi.2017.14.031}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200035}
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